8(2x+3)=7(3x+1)-13

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Solution for 8(2x+3)=7(3x+1)-13 equation:


Simplifying
8(2x + 3) = 7(3x + 1) + -13

Reorder the terms:
8(3 + 2x) = 7(3x + 1) + -13
(3 * 8 + 2x * 8) = 7(3x + 1) + -13
(24 + 16x) = 7(3x + 1) + -13

Reorder the terms:
24 + 16x = 7(1 + 3x) + -13
24 + 16x = (1 * 7 + 3x * 7) + -13
24 + 16x = (7 + 21x) + -13

Reorder the terms:
24 + 16x = 7 + -13 + 21x

Combine like terms: 7 + -13 = -6
24 + 16x = -6 + 21x

Solving
24 + 16x = -6 + 21x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21x' to each side of the equation.
24 + 16x + -21x = -6 + 21x + -21x

Combine like terms: 16x + -21x = -5x
24 + -5x = -6 + 21x + -21x

Combine like terms: 21x + -21x = 0
24 + -5x = -6 + 0
24 + -5x = -6

Add '-24' to each side of the equation.
24 + -24 + -5x = -6 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = -6 + -24
-5x = -6 + -24

Combine like terms: -6 + -24 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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